Xiaoxue H. Li
Professor Li received her Ph. D. of mathematics from Lehigh University, where she studied Homotopy theory in Algebraic Topology under the supervision of Professor Don Davis. Her current research interests include projective geometry, Euclidean geometry, and using Mathematics to understand the quantitative aspects of various environmental concerns. She is passionate at mentoring undergraduate research in mathematics and has supervised many funded summer student research.
In her spare time, she enjoys various outdoor activities, gardening, and spending time with her children and friends.
Lehigh University, Bethlehem, PA
Ph.D., M.S., Mathematics
Southwest University, Chongching, China
Calculus I-III, College algebra, Intro to Math Reasoning, Modern geometry, Linear algebra, Abstract algebra, Real Variables, and Math history.
Some student research projects mentored:
- The Application of 3D Printing in Calculus, Madison Jackson, 2019 Virginia Foundation of Independent Colleges (VFIC) Summer Undergraduate Science Scholarship recipient. Summer 2019.
- An Analysis of Precipitation Trends in the Appalachian Mountain Region, Sean Collier, 2017 Colonel Lee B. Ledford Scholarship recipient, Appalachian College Association(ACA), Summer 2017.
- Impact of Precipitation and Temperature Changes on Appalachian Salamander Populations: A Data-Based Approach, Zane Moran, 2017 Colonel Lee B. Ledford Scholarship recipient, Appalachian College Association (ACA), Summer 2017.
- Using R to Analyze Albert A. Michelson’s 1879 Speed of Light Experiments. Matthew Boyda, 2015 VFIC Summer Undergraduate Science Scholarship recipient.
- Interpretations of some projective theorems in Euclidean Space, Ashley Nelson, 2010 Colonel Lee B. Ledford Scholarship recipient, Appalachian College Association(ACA). Presented at MathFest, Annual MAA summer meeting, Pittsburgh, PA, 2010.
- Desargues’ Theorem - Physical Models and Interpretations in Euclidean Space. Kandis Hall, Jessica Ogle, the 3rd Annual Student Research Symposium, University of Virginia at Wise, VA, 2009.
Sabbatical research (2014-2015): Statistical-physical projection of future changes in the body size of salamanders in the US Appalachian Mountains. This project studies the influence of intensity, frequency and length of rainfall and temperature extremes on the body size of salamanders using a statistical-physical modeling approach. It is a collaboration with statistician Dr. Yun Li(Australia) and biologist Dr. Nicholas Caruso. Thanks to the support from Appalachian College Association (ACA), and Virginia Foundation for Independent Colleges (VFIC), and the National Institute for Mathematical and Biological Synthesis (NIMBioS).
Sabbatical research (2022-2023): Desargues’s Theorem, Pascal’s Theorem, and their configurations in Euclidean Space.